Critical numbers of attractive Bose-Einstein condensed atoms in asymmetric traps

2002/09/06 by A. Gammal, Lauro Tomio, L. Tomio +1 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.soft

paper · pdf · doi:10.1103/physreva.66.043619

5 pages, 3 figures. To appear in Phys. Rev. A

arxiv created 2002/09/06 · openalex publication_date 2002/10/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The recent Bose-Einstein condensation of ultracold atoms with attractive interactions led us to consider the possibility of probing the stability of its ground state in arbitrary three-dimensional harmonic traps. We performed a quantitative analysis of the critical number of atoms through a full numerical solution of the mean-field Gross-Pitaevskii equation. Characteristic limits are obtained for reductions from three to two and one dimensions, in perfect cylindrical symmetries as well as in deformed ones.

Citations

• The effect of interactions on Bose-Einstein condensation in a quasi two-dimensional harmonic trap
• Bosons in anisotropic traps: Ground state and vortices
• Nonlinear Schr�dinger equations and sharp interpolation estimates
• Macroscopic quantum tunneling of a bose condensate
• Effects of temperature upon the collapse of a Bose-Einstein condensate in a gas with attractive interactions

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